General fractional integral formulas involving the generalized polynomials sets and Fox's \(H\)-function (Q2717881)

A generalized form of Riemann-Liouville and Weyl operators of fractional integration were introduced by the reviewer [see \textit{V. Kiryakova}, ``Generalized fractional calculus and applications'' (1994; Zbl 0882.26003), p. 5], where the kernel \(\Phi(x)\) is an arbitrary continuous function, so that the integrals make sense in sufficiently large functional spaces. By choosing different functions for kernels, a number of operators can be defined. Some basic properties of these generalized operators are also established. In this paper the author defines a class of such operators involving some polynomials and \(H\)-function.